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Finding the Fourth Proportional to 31,414.50, 47,121.75 and 8,040.94

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Solution

The fourth proportional to 31,414.50, 47,121.75 and 8,040.94 is: 12,061.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,414.50 : 47,121.75 = 8,040.94 : x
  2. Step 2: Convert to fraction form
    31,414.50/47,121.75 = 8,040.94/x
  3. Step 3: Cross multiply
    31,414.50x = 47,121.75 × 8,040.94
  4. Step 4: Simplify right side
    31,414.50x = 378,903,046.64
  5. Step 5: Solve for x
    x = 378,903,046.64/31,414.50
  6. Step 6: Final answer
    x = 12,061.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.